/*
The Thue-Morse sequence {Tn} is a binary sequence satisfying:
T0 = 0
T2n = Tn
T2n+1 = 1 - Tn

The first several terms of {Tn} are given as follows:
01101001100101101001011001101001....



We define {An} as the sorted sequence of integers such that the binary expression of each element appears as a subsequence in {Tn}.
For example, the decimal number 18 is expressed as 10010 in binary. 10010 appears in {Tn} (T8 to T12), so 18 is an element of {An}.
The decimal number 14 is expressed as 1110 in binary. 1110 never appears in {Tn}, so 14 is not an element of {An}.



The first several terms of An are given as follows:
n0123456789101112…
An012345691011121318…




We can also verify that A100 = 3251 and A1000 = 80852364498.



Find the last 9 digits of .

Anser:
Time:
*/
package main

import (
	"fmt"
	"time"
)

func main() {
	tstart := time.Now()



	tend := time.Now()
	fmt.Println(tend.Sub(tstart))
}